Explain whether one (or both) of the situations for the approximate normality of the sampling distribution of the mean holds in each scenario. (a) Mean normal body temperature will be determined for a randomly selected sample of 18 individuals. In the population of all humans, normal body temperature has approximately a normal distribution with mean μ = 98.2 degrees Fahrenheit and standard deviation σ = 0.5. O O O The population of temperatures is bell-shaped and the sample is a random sample. However, the sample size is small. So, only situation 1 holds. The population of temperatures is bell-shaped and the sample is a random sample. However, the sample size is small. So, only situation 2 holds. The population of temperatures is not bell-shaped and the sample is a random sample. However, the sample size is large. So, only situation 2 holds. The population of temperatures is not bell-shaped and the sample is a random sample. However, the sample size is small. So, only situation 2 holds. The population of temperatures is not bell-shaped and the sample size is small, However, the sample is not a random sample. So neither situation 1 nor situation 2 holds. (b) Mean number of music CDs owned will be determined for a randomly selected sample of four college students. In the population of all college students, the distribution of number of CDs owned is skewed to the right. O O O О The population of number of music CDs owned by a college student is not bell-shaped. However, the sample size is large and the sample is a random sample. So, only situation 2 holds. The population of number of music CDs owned by a college student is not bell-shaped. However, the sample size is large and the sample is a random sample. So, only situation 1 holds. The population of number of music CDs owned by a college student is not bell-shaped, the sample size is small, and the sample is a random sample. So neither situation 1 nor situation 2 holds. The population of number of music CDs owned by a college student is not bell-shaped, the sample size is small, and the sample is not a random sample. So, both situation 1 and situation 2 hold. The population of number of music CDs owned by a college student is bell-shaped and the sample is a random sample. However, the sample size is small. So, only situation 2 holds. (c) Refer to part (b). The mean number of music CDs owned will be determined for a randomly selected sample of 900 college students. OOOOO The population of number of music CDs owned by a college student is not bell-shaped. However, the sample size is large and the sample is a random sample. So, only situation 1 holds. The population of number of music CDs owned by a college student is not bell-shaped. However, the sample size is large and the sample is a random sample. So, only situation 2 holds. The population of number of music CDs owned by a college student is bell-shaped and the sample is a random sample. However, the sample size is small. So, only situation 2 holds. The population of number of music CDs owned by a college student is bell-shaped and the sample is a random sample. However, the sample size is small. So, only situation 1 holds. The population of number of music CDs owned by a college student is not bell-shaped, the sample size is small, and the sample is not a random sample. So, both situation 1 and situation 2 hold.
Explain whether one (or both) of the situations for the approximate normality of the sampling distribution of the mean holds in each scenario. (a) Mean normal body temperature will be determined for a randomly selected sample of 18 individuals. In the population of all humans, normal body temperature has approximately a normal distribution with mean μ = 98.2 degrees Fahrenheit and standard deviation σ = 0.5. O O O The population of temperatures is bell-shaped and the sample is a random sample. However, the sample size is small. So, only situation 1 holds. The population of temperatures is bell-shaped and the sample is a random sample. However, the sample size is small. So, only situation 2 holds. The population of temperatures is not bell-shaped and the sample is a random sample. However, the sample size is large. So, only situation 2 holds. The population of temperatures is not bell-shaped and the sample is a random sample. However, the sample size is small. So, only situation 2 holds. The population of temperatures is not bell-shaped and the sample size is small, However, the sample is not a random sample. So neither situation 1 nor situation 2 holds. (b) Mean number of music CDs owned will be determined for a randomly selected sample of four college students. In the population of all college students, the distribution of number of CDs owned is skewed to the right. O O O О The population of number of music CDs owned by a college student is not bell-shaped. However, the sample size is large and the sample is a random sample. So, only situation 2 holds. The population of number of music CDs owned by a college student is not bell-shaped. However, the sample size is large and the sample is a random sample. So, only situation 1 holds. The population of number of music CDs owned by a college student is not bell-shaped, the sample size is small, and the sample is a random sample. So neither situation 1 nor situation 2 holds. The population of number of music CDs owned by a college student is not bell-shaped, the sample size is small, and the sample is not a random sample. So, both situation 1 and situation 2 hold. The population of number of music CDs owned by a college student is bell-shaped and the sample is a random sample. However, the sample size is small. So, only situation 2 holds. (c) Refer to part (b). The mean number of music CDs owned will be determined for a randomly selected sample of 900 college students. OOOOO The population of number of music CDs owned by a college student is not bell-shaped. However, the sample size is large and the sample is a random sample. So, only situation 1 holds. The population of number of music CDs owned by a college student is not bell-shaped. However, the sample size is large and the sample is a random sample. So, only situation 2 holds. The population of number of music CDs owned by a college student is bell-shaped and the sample is a random sample. However, the sample size is small. So, only situation 2 holds. The population of number of music CDs owned by a college student is bell-shaped and the sample is a random sample. However, the sample size is small. So, only situation 1 holds. The population of number of music CDs owned by a college student is not bell-shaped, the sample size is small, and the sample is not a random sample. So, both situation 1 and situation 2 hold.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
Related questions
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Transcribed Image Text:Explain whether one (or both) of the situations for the approximate normality of the sampling distribution of the mean holds in each scenario.
(a) Mean normal body temperature will be determined for a randomly selected sample of 18 individuals. In the population of all humans, normal body temperature has approximately a normal
distribution with mean μ = 98.2 degrees Fahrenheit and standard deviation σ = 0.5.
O O O
The population of temperatures is bell-shaped and the sample is a random sample. However, the sample size is small. So, only situation 1 holds.
The population of temperatures is bell-shaped and the sample is a random sample. However, the sample size is small. So, only situation 2 holds.
The population of temperatures is not bell-shaped and the sample is a random sample. However, the sample size is large. So, only situation 2 holds.
The population of temperatures is not bell-shaped and the sample is a random sample. However, the sample size is small. So, only situation 2 holds.
The population of temperatures is not bell-shaped and the sample size is small, However, the sample is not a random sample. So neither situation 1 nor situation 2 holds.
(b) Mean number of music CDs owned will be determined for a randomly selected sample of four college students. In the population of all college students, the distribution of number of CDs owned
is skewed to the right.
O O O
О
The population of number of music CDs owned by a college student is not bell-shaped. However, the sample size is large and the sample is a random sample. So, only situation 2 holds.
The population of number of music CDs owned by a college student is not bell-shaped. However, the sample size is large and the sample is a random sample. So, only situation 1 holds.
The population of number of music CDs owned by a college student is not bell-shaped, the sample size is small, and the sample is a random sample. So neither situation 1 nor situation 2
holds.
The population of number of music CDs owned by a college student is not bell-shaped, the sample size is small, and the sample is not a random sample. So, both situation 1 and situation 2
hold.
The population of number of music CDs owned by a college student is bell-shaped and the sample is a random sample. However, the sample size is small. So, only situation 2 holds.
(c) Refer to part (b). The mean number of music CDs owned will be determined for a randomly selected sample of 900 college students.
OOOOO
The population of number of music CDs owned by a college student is not bell-shaped. However, the sample size is large and the sample is a random sample. So, only situation 1 holds.
The population of number of music CDs owned by a college student is not bell-shaped. However, the sample size is large and the sample is a random sample. So, only situation 2 holds.
The population of number of music CDs owned by a college student is bell-shaped and the sample is a random sample. However, the sample size is small. So, only situation 2 holds.
The population of number of music CDs owned by a college student is bell-shaped and the sample is a random sample. However, the sample size is small. So, only situation 1 holds.
The population of number of music CDs owned by a college student is not bell-shaped, the sample size is small, and the sample is not a random sample. So, both situation 1 and situation 2
hold.
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